ORGANIZED APPROACH TO PROBLEM SOLVING USING UNITS Factor Label/ Conversions/ Dimensional Analysis

3 QUESTIONS TO ANSWER 1. What unit do you need? 2. What information is given? 3. What conversion factors do you need?

CONVERSION FACTOR: CONVERSION BETWEEN 1 UNIT AND ANOTHER; ANY TWO THINGS THAT ARE EQUAL. EX: 16 oz. = 1 lb 1 km = 1000 M 1.06 qt = 1 L

Look at the example: Ex: ? cm are there in 30 ft? ?cm = 30 ft 12 in 2.54 cm = cm 1 1 ft 1 in What pattern do you notice?

1. ALWAYS START WITH "? units wanted ” ? Units wanted =

2. Write Given quantity on top ? Units wanted = Given quantity

3. Write matching conversion factor on bottom of next parenthesis ? Units wanted = Given quantity Matching conversion factor

4. Put wanted unit of conversion factor on top! ? Units wanted = Given quantity Matching conversion factor Wanted unit of conversion factor

5. Multiply everything on top, and divide by everything on bottom! ? Units wanted = Given quantity Matching conversion factor Wanted unit of conversion factor *In calculator type: (multiply everything on top) / (multiply everything on bottom) = your answer with units wanted!

? Units wanted = given quantityUnits wanted Matching conversion factor: MUST be in SAME UNIT as your Given Quantity!!!!!!!!!! *You must have the same unit on top in the first parenthesis, as you do in the bottom of the next parenthesis!! *Diagonal Units: must cancel out!

You can also do this with multiple conversion factors! ? Units wanted = Given quantity Matching conversion factor Some unit Start with same steps as before, but your first conversion factor may not have the wanted unit on top. You may need to use many conversion factors to get to the unit wanted!! Some unit conversion factor Units wanted!

Always make sure that diagonal units cancel out!!! Lets do some examples!!!!!!!!!

Example Problems: 1.? Seconds has a 16 year old lived 2.? Lbs is a 200,000g sumo wrestler 3.? Warps are there in 9x10 12 wags 1 wag = 95 zooms 1000 warps = 1 dirg 67 zooms = 1 dirg 4.Jeff drove 2 x 10 3 cm/sec to school, which is 9miles away. How many min did it take to get to school? 12in = 1ft 1in = 2.54cm 5280ft = 1mile 5.Susan drank 32 lbs of soda. If soda has a density of 0.999g/cm3, how many qts did she drink? 1 lb = 454g 1 cm3 = 1 mL 1 qt = 946 mL

SI UNITS: SYSTEME INTERNATIONALE Base Units: LENGTH-m- meter MASS-kg- kilogram TIME-s- seconds TEMP-K- Kelvin AMOUNT-mole- molecular units '

SI Units: based on powers of 10--METRIC PREFIXES M - mega k - kilo h - hecto da - deka d - deci c - centi m - milli  - micro n - nano p - pico - meter BASE - liter - grams

MANY KIDS HAVE DROPPED OVER DEAD CONVERTING METRICS Now you create your own!!!

METRIC TO METRIC CONVERSION RULES: 1. Write ? Unit looking for 2. Write given quantity on top 3. Use matching conversion factor:

METRIC TO METRIC CONVERSION RULES: 3. Use matching conversion factor: i. Place given unit on bottom ii. Place desired unit on top iii. Put a 1 in front of the bigger metric unit iv. Put a (+) positive power of 10 on the smaller metric unit

METRIC TO METRIC CONVERSION RULES: 5. Cancel all diagonal units (except for the one you are looking for 6. Multiply everything above the line and divide by everything below the line.

METRIC TO METRIC CONVERSION RULES: HINTS: 1. Go from given unit to base unit 2. Go from base unit to unit wanted 3. Always use a (+) positive exponent number 4. Put the (+) exponent number on the smaller unit

8 km = ______ cm ? cm =

8 km = ______ cm 8 km

8 km = ______ cm ? cm = 8 km 1000 m 1 km

8 km = ______ cm ? cm = 8 km 1000 m 1 km 100 cm 1 m

8 km = ______ cm ? cm = 8 km 1000 m 100 cm 1 km 1 m = 800,000 cm 1

1. ? cm are in 5km 2. ? ng are in 6.2 x dg 3. ? hL are in 5mL? EXAMPLE OF METRIC TO METRIC CONVERSIONS

METRIC - ENGLISH CONVERSIONS 2.54 cm = 1 inch 454 g = 1 lb qt. = 1 L 3 1 mL = 1 cm

ENGLISH CONVERSIONS 16 oz = 1 pound (lb) 12 in. = 1 ft 3 ft = 1 yd 4 qts = 1 gal 5280 ft = 1 mile